Dataset statistics
| Number of variables | 10 |
|---|---|
| Number of observations | 214 |
| Missing cells | 0 |
| Missing cells (%) | 0.0% |
| Duplicate rows | 1 |
| Duplicate rows (%) | 0.5% |
| Total size in memory | 16.8 KiB |
| Average record size in memory | 80.6 B |
Variable types
| NUM | 10 |
|---|
Reproduction
| Analysis started | 2020-08-30 15:35:09.585256 |
|---|---|
| Analysis finished | 2020-08-30 15:35:26.058812 |
| Version | pandas-profiling v2.5.0 |
| Command line | pandas_profiling --config_file config.yaml [YOUR_FILE.csv] |
| Download configuration | config.yaml |
RI
Real number (ℝ≥0)
| Distinct count | 178 |
|---|---|
| Unique (%) | 83.2% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 1.518365421 |
|---|---|
| Minimum | 1.51115 |
| Maximum | 1.53393 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 1.8 KiB |
Quantile statistics
| Minimum | 1.51115 |
|---|---|
| 5-th percentile | 1.515401 |
| Q1 | 1.5165225 |
| median | 1.51768 |
| Q3 | 1.5191575 |
| 95-th percentile | 1.523664 |
| Maximum | 1.53393 |
| Range | 0.02278 |
| Interquartile range (IQR) | 0.002635 |
Descriptive statistics
| Standard deviation | 0.003036863739 |
|---|---|
| Coefficient of variation (CV) | 0.002000087527 |
| Kurtosis | 4.931737386 |
| Mean | 1.518365421 |
| Median Absolute Deviation (MAD) | 0.002121332867 |
| Skewness | 1.625430506 |
| Sum | 324.9302 |
| Variance | 9.222541372e-06 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[1.51115 1.51511 1.515885 1.518515 1.52237 1.53393 ], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 1.52152 | 3 | 1.4% | |
| 1.51645 | 3 | 1.4% | |
| 1.5159 | 3 | 1.4% | |
| 1.52213 | 2 | 0.9% | |
| 1.51763 | 2 | 0.9% | |
| 1.51779 | 2 | 0.9% | |
| 1.51769 | 2 | 0.9% | |
| 1.51793 | 2 | 0.9% | |
| 1.51613 | 2 | 0.9% | |
| 1.51618 | 2 | 0.9% | |
| Other values (168) | 191 | 89.3% |
| Value | Count | Frequency (%) | |
| 1.51115 | 1 | 0.5% | |
| 1.51131 | 1 | 0.5% | |
| 1.51215 | 1 | 0.5% | |
| 1.51299 | 1 | 0.5% | |
| 1.51316 | 1 | 0.5% |
| Value | Count | Frequency (%) | |
| 1.53393 | 1 | 0.5% | |
| 1.53125 | 1 | 0.5% | |
| 1.52777 | 1 | 0.5% | |
| 1.52739 | 1 | 0.5% | |
| 1.52725 | 1 | 0.5% |
Na
Real number (ℝ≥0)
| Distinct count | 142 |
|---|---|
| Unique (%) | 66.4% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 13.40785047 |
|---|---|
| Minimum | 10.73 |
| Maximum | 17.38 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 1.8 KiB |
Quantile statistics
| Minimum | 10.73 |
|---|---|
| 5-th percentile | 12.415 |
| Q1 | 12.9075 |
| median | 13.3 |
| Q3 | 13.825 |
| 95-th percentile | 14.8535 |
| Maximum | 17.38 |
| Range | 6.65 |
| Interquartile range (IQR) | 0.9175 |
Descriptive statistics
| Standard deviation | 0.8166035557 |
|---|---|
| Coefficient of variation (CV) | 0.06090488238 |
| Kurtosis | 3.052232409 |
| Mean | 13.40785047 |
| Median Absolute Deviation (MAD) | 0.5988977203 |
| Skewness | 0.4541814537 |
| Sum | 2869.28 |
| Variance | 0.6668413672 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[10.73 12.555 13.725 15.08 17.38 ], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 13 | 5 | 2.3% | |
| 13.02 | 5 | 2.3% | |
| 13.21 | 5 | 2.3% | |
| 12.85 | 4 | 1.9% | |
| 13.64 | 4 | 1.9% | |
| 13.24 | 4 | 1.9% | |
| 12.86 | 4 | 1.9% | |
| 13.33 | 4 | 1.9% | |
| 12.93 | 3 | 1.4% | |
| 13.2 | 3 | 1.4% | |
| Other values (132) | 173 | 80.8% |
| Value | Count | Frequency (%) | |
| 10.73 | 1 | 0.5% | |
| 11.02 | 1 | 0.5% | |
| 11.03 | 1 | 0.5% | |
| 11.23 | 1 | 0.5% | |
| 11.45 | 1 | 0.5% |
| Value | Count | Frequency (%) | |
| 17.38 | 1 | 0.5% | |
| 15.79 | 1 | 0.5% | |
| 15.15 | 1 | 0.5% | |
| 15.01 | 1 | 0.5% | |
| 14.99 | 1 | 0.5% |
| Distinct count | 94 |
|---|---|
| Unique (%) | 43.9% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 2.68453271 |
|---|---|
| Minimum | 0 |
| Maximum | 4.49 |
| Zeros | 42 |
| Zeros (%) | 19.6% |
| Memory size | 1.8 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 0 |
| Q1 | 2.115 |
| median | 3.48 |
| Q3 | 3.6 |
| 95-th percentile | 3.85 |
| Maximum | 4.49 |
| Range | 4.49 |
| Interquartile range (IQR) | 1.485 |
Descriptive statistics
| Standard deviation | 1.442407845 |
|---|---|
| Coefficient of variation (CV) | 0.5373031364 |
| Kurtosis | -0.4103189629 |
| Mean | 2.68453271 |
| Median Absolute Deviation (MAD) | 1.209406498 |
| Skewness | -1.152559318 |
| Sum | 574.49 |
| Variance | 2.080540391 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[0. 0.165 1.66 3.335 3.465 3.625 3.915 4.49 ], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 0 | 42 | 19.6% | |
| 3.54 | 8 | 3.7% | |
| 3.48 | 8 | 3.7% | |
| 3.58 | 8 | 3.7% | |
| 3.52 | 7 | 3.3% | |
| 3.62 | 5 | 2.3% | |
| 3.5 | 4 | 1.9% | |
| 3.66 | 4 | 1.9% | |
| 3.61 | 4 | 1.9% | |
| 3.56 | 4 | 1.9% | |
| Other values (84) | 120 | 56.1% |
| Value | Count | Frequency (%) | |
| 0 | 42 | 19.6% | |
| 0.33 | 1 | 0.5% | |
| 0.78 | 1 | 0.5% | |
| 1.01 | 1 | 0.5% | |
| 1.35 | 1 | 0.5% |
| Value | Count | Frequency (%) | |
| 4.49 | 1 | 0.5% | |
| 3.98 | 1 | 0.5% | |
| 3.97 | 1 | 0.5% | |
| 3.93 | 1 | 0.5% | |
| 3.9 | 3 | 1.4% |
Al
Real number (ℝ≥0)
| Distinct count | 118 |
|---|---|
| Unique (%) | 55.1% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 1.444906542 |
|---|---|
| Minimum | 0.29 |
| Maximum | 3.5 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 1.8 KiB |
Quantile statistics
| Minimum | 0.29 |
|---|---|
| 5-th percentile | 0.696 |
| Q1 | 1.19 |
| median | 1.36 |
| Q3 | 1.63 |
| 95-th percentile | 2.394 |
| Maximum | 3.5 |
| Range | 3.21 |
| Interquartile range (IQR) | 0.44 |
Descriptive statistics
| Standard deviation | 0.4992696456 |
|---|---|
| Coefficient of variation (CV) | 0.3455376739 |
| Kurtosis | 2.060568969 |
| Mean | 1.444906542 |
| Median Absolute Deviation (MAD) | 0.359052319 |
| Skewness | 0.907289809 |
| Sum | 309.21 |
| Variance | 0.249270179 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[0.29 1.105 1.635 2.11 3.5 ], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 1.54 | 8 | 3.7% | |
| 1.19 | 6 | 2.8% | |
| 1.29 | 5 | 2.3% | |
| 1.43 | 5 | 2.3% | |
| 1.23 | 5 | 2.3% | |
| 1.56 | 5 | 2.3% | |
| 1.36 | 4 | 1.9% | |
| 1.35 | 4 | 1.9% | |
| 1.28 | 4 | 1.9% | |
| 1.62 | 3 | 1.4% | |
| Other values (108) | 165 | 77.1% |
| Value | Count | Frequency (%) | |
| 0.29 | 1 | 0.5% | |
| 0.34 | 1 | 0.5% | |
| 0.47 | 2 | 0.9% | |
| 0.51 | 1 | 0.5% | |
| 0.56 | 2 | 0.9% |
| Value | Count | Frequency (%) | |
| 3.5 | 1 | 0.5% | |
| 3.04 | 1 | 0.5% | |
| 3.02 | 1 | 0.5% | |
| 2.88 | 1 | 0.5% | |
| 2.79 | 1 | 0.5% |
Si
Real number (ℝ≥0)
| Distinct count | 133 |
|---|---|
| Unique (%) | 62.1% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 72.65093458 |
|---|---|
| Minimum | 69.81 |
| Maximum | 75.41 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 1.8 KiB |
Quantile statistics
| Minimum | 69.81 |
|---|---|
| 5-th percentile | 71.315 |
| Q1 | 72.28 |
| median | 72.79 |
| Q3 | 73.0875 |
| 95-th percentile | 73.5175 |
| Maximum | 75.41 |
| Range | 5.6 |
| Interquartile range (IQR) | 0.8075 |
Descriptive statistics
| Standard deviation | 0.7745457948 |
|---|---|
| Coefficient of variation (CV) | 0.0106611952 |
| Kurtosis | 2.967902956 |
| Mean | 72.65093458 |
| Median Absolute Deviation (MAD) | 0.5556956939 |
| Skewness | -0.7304472251 |
| Sum | 15547.3 |
| Variance | 0.5999211882 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[69.81 71.735 72.625 73.295 73.845 75.41 ], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 72.86 | 4 | 1.9% | |
| 73.28 | 4 | 1.9% | |
| 73.1 | 4 | 1.9% | |
| 72.99 | 4 | 1.9% | |
| 73.11 | 4 | 1.9% | |
| 72.97 | 3 | 1.4% | |
| 72.95 | 3 | 1.4% | |
| 73.01 | 3 | 1.4% | |
| 72.64 | 3 | 1.4% | |
| 72.96 | 3 | 1.4% | |
| Other values (123) | 179 | 83.6% |
| Value | Count | Frequency (%) | |
| 69.81 | 1 | 0.5% | |
| 69.89 | 1 | 0.5% | |
| 70.16 | 1 | 0.5% | |
| 70.26 | 1 | 0.5% | |
| 70.43 | 1 | 0.5% |
| Value | Count | Frequency (%) | |
| 75.41 | 1 | 0.5% | |
| 75.18 | 1 | 0.5% | |
| 74.55 | 1 | 0.5% | |
| 74.45 | 1 | 0.5% | |
| 73.88 | 1 | 0.5% |
| Distinct count | 65 |
|---|---|
| Unique (%) | 30.4% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.4970560748 |
|---|---|
| Minimum | 0 |
| Maximum | 6.21 |
| Zeros | 30 |
| Zeros (%) | 14.0% |
| Memory size | 1.8 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 0 |
| Q1 | 0.1225 |
| median | 0.555 |
| Q3 | 0.61 |
| 95-th percentile | 0.76 |
| Maximum | 6.21 |
| Range | 6.21 |
| Interquartile range (IQR) | 0.4875 |
Descriptive statistics
| Standard deviation | 0.6521918456 |
|---|---|
| Coefficient of variation (CV) | 1.312109194 |
| Kurtosis | 54.68969853 |
| Mean | 0.4970560748 |
| Median Absolute Deviation (MAD) | 0.2943628264 |
| Skewness | 6.55164831 |
| Sum | 106.37 |
| Variance | 0.4253542034 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[0. 0.01 0.165 0.535 0.615 0.695 0.785 6.21 ], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 0 | 30 | 14.0% | |
| 0.57 | 12 | 5.6% | |
| 0.6 | 11 | 5.1% | |
| 0.56 | 11 | 5.1% | |
| 0.58 | 10 | 4.7% | |
| 0.64 | 8 | 3.7% | |
| 0.61 | 8 | 3.7% | |
| 0.59 | 7 | 3.3% | |
| 0.54 | 6 | 2.8% | |
| 0.62 | 6 | 2.8% | |
| Other values (55) | 105 | 49.1% |
| Value | Count | Frequency (%) | |
| 0 | 30 | 14.0% | |
| 0.02 | 1 | 0.5% | |
| 0.03 | 1 | 0.5% | |
| 0.04 | 2 | 0.9% | |
| 0.05 | 1 | 0.5% |
| Value | Count | Frequency (%) | |
| 6.21 | 2 | 0.9% | |
| 2.7 | 1 | 0.5% | |
| 1.76 | 1 | 0.5% | |
| 1.68 | 1 | 0.5% | |
| 1.46 | 1 | 0.5% |
Ca
Real number (ℝ≥0)
| Distinct count | 143 |
|---|---|
| Unique (%) | 66.8% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 8.956962617 |
|---|---|
| Minimum | 5.43 |
| Maximum | 16.19 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 1.8 KiB |
Quantile statistics
| Minimum | 5.43 |
|---|---|
| 5-th percentile | 7.8125 |
| Q1 | 8.24 |
| median | 8.6 |
| Q3 | 9.1725 |
| 95-th percentile | 11.5615 |
| Maximum | 16.19 |
| Range | 10.76 |
| Interquartile range (IQR) | 0.9325 |
Descriptive statistics
| Standard deviation | 1.423153487 |
|---|---|
| Coefficient of variation (CV) | 0.1588879566 |
| Kurtosis | 6.681977951 |
| Mean | 8.956962617 |
| Median Absolute Deviation (MAD) | 0.9181269106 |
| Skewness | 2.047053913 |
| Sum | 1916.79 |
| Variance | 2.025365848 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[ 5.43 7.805 9.075 9.9 11.63 16.19 ], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 8.03 | 5 | 2.3% | |
| 8.43 | 5 | 2.3% | |
| 9.57 | 4 | 1.9% | |
| 8.44 | 4 | 1.9% | |
| 8.79 | 4 | 1.9% | |
| 8.38 | 3 | 1.4% | |
| 8.83 | 3 | 1.4% | |
| 8.67 | 3 | 1.4% | |
| 8.39 | 3 | 1.4% | |
| 8.53 | 3 | 1.4% | |
| Other values (133) | 177 | 82.7% |
| Value | Count | Frequency (%) | |
| 5.43 | 1 | 0.5% | |
| 5.79 | 1 | 0.5% | |
| 5.87 | 1 | 0.5% | |
| 6.47 | 1 | 0.5% | |
| 6.65 | 1 | 0.5% |
| Value | Count | Frequency (%) | |
| 16.19 | 1 | 0.5% | |
| 14.96 | 1 | 0.5% | |
| 14.68 | 1 | 0.5% | |
| 14.4 | 1 | 0.5% | |
| 13.44 | 1 | 0.5% |
| Distinct count | 34 |
|---|---|
| Unique (%) | 15.9% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.175046729 |
|---|---|
| Minimum | 0 |
| Maximum | 3.15 |
| Zeros | 176 |
| Zeros (%) | 82.2% |
| Memory size | 1.8 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 0 |
| Q1 | 0 |
| median | 0 |
| Q3 | 0 |
| 95-th percentile | 1.57 |
| Maximum | 3.15 |
| Range | 3.15 |
| Interquartile range (IQR) | 0 |
Descriptive statistics
| Standard deviation | 0.4972192606 |
|---|---|
| Coefficient of variation (CV) | 2.840494441 |
| Kurtosis | 12.54108358 |
| Mean | 0.175046729 |
| Median Absolute Deviation (MAD) | 0.2923696393 |
| Skewness | 3.416424569 |
| Sum | 37.46 |
| Variance | 0.2472269931 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[0. 0.03 0.785 1.56 1.695 3.15 ], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 0 | 176 | 82.2% | |
| 1.57 | 2 | 0.9% | |
| 0.64 | 2 | 0.9% | |
| 0.09 | 2 | 0.9% | |
| 1.59 | 2 | 0.9% | |
| 0.11 | 2 | 0.9% | |
| 0.15 | 1 | 0.5% | |
| 1.55 | 1 | 0.5% | |
| 0.61 | 1 | 0.5% | |
| 0.63 | 1 | 0.5% | |
| Other values (24) | 24 | 11.2% |
| Value | Count | Frequency (%) | |
| 0 | 176 | 82.2% | |
| 0.06 | 1 | 0.5% | |
| 0.09 | 2 | 0.9% | |
| 0.11 | 2 | 0.9% | |
| 0.14 | 1 | 0.5% |
| Value | Count | Frequency (%) | |
| 3.15 | 1 | 0.5% | |
| 2.88 | 1 | 0.5% | |
| 2.2 | 1 | 0.5% | |
| 1.71 | 1 | 0.5% | |
| 1.68 | 1 | 0.5% |
| Distinct count | 32 |
|---|---|
| Unique (%) | 15.0% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 0.05700934579 |
|---|---|
| Minimum | 0 |
| Maximum | 0.51 |
| Zeros | 144 |
| Zeros (%) | 67.3% |
| Memory size | 1.8 KiB |
Quantile statistics
| Minimum | 0 |
|---|---|
| 5-th percentile | 0 |
| Q1 | 0 |
| median | 0 |
| Q3 | 0.1 |
| 95-th percentile | 0.267 |
| Maximum | 0.51 |
| Range | 0.51 |
| Interquartile range (IQR) | 0.1 |
Descriptive statistics
| Standard deviation | 0.09743870064 |
|---|---|
| Coefficient of variation (CV) | 1.709170651 |
| Kurtosis | 2.662015617 |
| Mean | 0.05700934579 |
| Median Absolute Deviation (MAD) | 0.07748012927 |
| Skewness | 1.75432747 |
| Sum | 12.2 |
| Variance | 0.009494300382 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[0. 0.005 0.065 0.245 0.36 0.51 ], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 0 | 144 | 67.3% | |
| 0.17 | 7 | 3.3% | |
| 0.24 | 7 | 3.3% | |
| 0.09 | 6 | 2.8% | |
| 0.1 | 5 | 2.3% | |
| 0.11 | 4 | 1.9% | |
| 0.07 | 3 | 1.4% | |
| 0.14 | 3 | 1.4% | |
| 0.28 | 3 | 1.4% | |
| 0.16 | 3 | 1.4% | |
| Other values (22) | 29 | 13.6% |
| Value | Count | Frequency (%) | |
| 0 | 144 | 67.3% | |
| 0.01 | 1 | 0.5% | |
| 0.03 | 1 | 0.5% | |
| 0.05 | 1 | 0.5% | |
| 0.06 | 1 | 0.5% |
| Value | Count | Frequency (%) | |
| 0.51 | 1 | 0.5% | |
| 0.37 | 1 | 0.5% | |
| 0.35 | 1 | 0.5% | |
| 0.34 | 1 | 0.5% | |
| 0.32 | 1 | 0.5% |
Type
Real number (ℝ≥0)
| Distinct count | 6 |
|---|---|
| Unique (%) | 2.8% |
| Missing | 0 |
| Missing (%) | 0.0% |
| Infinite | 0 |
| Infinite (%) | 0.0% |
| Mean | 2.780373832 |
|---|---|
| Minimum | 1 |
| Maximum | 7 |
| Zeros | 0 |
| Zeros (%) | 0.0% |
| Memory size | 1.8 KiB |
Quantile statistics
| Minimum | 1 |
|---|---|
| 5-th percentile | 1 |
| Q1 | 1 |
| median | 2 |
| Q3 | 3 |
| 95-th percentile | 7 |
| Maximum | 7 |
| Range | 6 |
| Interquartile range (IQR) | 2 |
Descriptive statistics
| Standard deviation | 2.103738646 |
|---|---|
| Coefficient of variation (CV) | 0.7566387736 |
| Kurtosis | -0.2795182977 |
| Mean | 2.780373832 |
| Median Absolute Deviation (MAD) | 1.719014761 |
| Skewness | 1.114915201 |
| Sum | 595 |
| Variance | 4.425716292 |
Histogram with fixed size bins (bins=10)
Histogram with variable size bins (bins=[1. 1.5 2.5 6.5 7. ], "bayesian blocks" binning strategy used)
| Value | Count | Frequency (%) | |
| 2 | 76 | 35.5% | |
| 1 | 70 | 32.7% | |
| 7 | 29 | 13.6% | |
| 3 | 17 | 7.9% | |
| 5 | 13 | 6.1% | |
| 6 | 9 | 4.2% |
| Value | Count | Frequency (%) | |
| 1 | 70 | 32.7% | |
| 2 | 76 | 35.5% | |
| 3 | 17 | 7.9% | |
| 5 | 13 | 6.1% | |
| 6 | 9 | 4.2% |
| Value | Count | Frequency (%) | |
| 7 | 29 | 13.6% | |
| 6 | 9 | 4.2% | |
| 5 | 13 | 6.1% | |
| 3 | 17 | 7.9% | |
| 2 | 76 | 35.5% |
Pearson's r
The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.
Spearman's ρ
The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.
Kendall's τ
Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.
First rows
| RI | Na | Mg | Al | Si | K | Ca | Ba | Fe | Type | |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1.52101 | 13.64 | 4.49 | 1.10 | 71.78 | 0.06 | 8.75 | 0.0 | 0.00 | 1 |
| 1 | 1.51761 | 13.89 | 3.60 | 1.36 | 72.73 | 0.48 | 7.83 | 0.0 | 0.00 | 1 |
| 2 | 1.51618 | 13.53 | 3.55 | 1.54 | 72.99 | 0.39 | 7.78 | 0.0 | 0.00 | 1 |
| 3 | 1.51766 | 13.21 | 3.69 | 1.29 | 72.61 | 0.57 | 8.22 | 0.0 | 0.00 | 1 |
| 4 | 1.51742 | 13.27 | 3.62 | 1.24 | 73.08 | 0.55 | 8.07 | 0.0 | 0.00 | 1 |
| 5 | 1.51596 | 12.79 | 3.61 | 1.62 | 72.97 | 0.64 | 8.07 | 0.0 | 0.26 | 1 |
| 6 | 1.51743 | 13.30 | 3.60 | 1.14 | 73.09 | 0.58 | 8.17 | 0.0 | 0.00 | 1 |
| 7 | 1.51756 | 13.15 | 3.61 | 1.05 | 73.24 | 0.57 | 8.24 | 0.0 | 0.00 | 1 |
| 8 | 1.51918 | 14.04 | 3.58 | 1.37 | 72.08 | 0.56 | 8.30 | 0.0 | 0.00 | 1 |
| 9 | 1.51755 | 13.00 | 3.60 | 1.36 | 72.99 | 0.57 | 8.40 | 0.0 | 0.11 | 1 |
Last rows
| RI | Na | Mg | Al | Si | K | Ca | Ba | Fe | Type | |
|---|---|---|---|---|---|---|---|---|---|---|
| 204 | 1.51617 | 14.95 | 0.0 | 2.27 | 73.30 | 0.00 | 8.71 | 0.67 | 0.0 | 7 |
| 205 | 1.51732 | 14.95 | 0.0 | 1.80 | 72.99 | 0.00 | 8.61 | 1.55 | 0.0 | 7 |
| 206 | 1.51645 | 14.94 | 0.0 | 1.87 | 73.11 | 0.00 | 8.67 | 1.38 | 0.0 | 7 |
| 207 | 1.51831 | 14.39 | 0.0 | 1.82 | 72.86 | 1.41 | 6.47 | 2.88 | 0.0 | 7 |
| 208 | 1.51640 | 14.37 | 0.0 | 2.74 | 72.85 | 0.00 | 9.45 | 0.54 | 0.0 | 7 |
| 209 | 1.51623 | 14.14 | 0.0 | 2.88 | 72.61 | 0.08 | 9.18 | 1.06 | 0.0 | 7 |
| 210 | 1.51685 | 14.92 | 0.0 | 1.99 | 73.06 | 0.00 | 8.40 | 1.59 | 0.0 | 7 |
| 211 | 1.52065 | 14.36 | 0.0 | 2.02 | 73.42 | 0.00 | 8.44 | 1.64 | 0.0 | 7 |
| 212 | 1.51651 | 14.38 | 0.0 | 1.94 | 73.61 | 0.00 | 8.48 | 1.57 | 0.0 | 7 |
| 213 | 1.51711 | 14.23 | 0.0 | 2.08 | 73.36 | 0.00 | 8.62 | 1.67 | 0.0 | 7 |